Finite Group Databasebeta

D17×#2049 #17062158

order4352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD17×#2049

Splittings

FittingC17×#2049 ⋊ C2
SylowC17 ⋊ C2×#2049

Subgroups

subgroupG/H
centerC2D17×#394
commutator, cosocleC22×C4×C17C24
FrattiniC22×C4C23×D17
FittingC17×#2049C2
socleC2×C17C2×#394
prime radicalC2×#41×D17C22
hypercenter#2049D17
hypocenterC17C2×#2049
LCSG ▷ C22×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2049

1322 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 544

Conjugacy classes & character table

230 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(4352, 197402);